With the same argument in [1]}, [2]}, we can easily check that for
\(\varepsilon \)  sufficiently small, if \((r,\rho )\)  is a critical point of
\(F(r,\rho )\) , then \((U_{\varepsilon ,r}+v_{\varepsilon ,\rho }+\varphi _{r,\rho },U_{\varepsilon ,\rho }+v_{\varepsilon ,r}+\psi _{r,\rho })\)  is a critical point of \(I\) .
